Logo
Home Study Material Contact Search
AI Chat FREE
  1. business
  2. accounting
  3. a manufacturing facility needs to open a new assem

A manufacturing facility needs to open a new assembly line in four months or there...

60.1K

Verified Solution

Question

Accounting

A manufacturing facility needs to open a new assembly line in four months or there will be significant cost overruns. The manager of this project believes that there are four possible values for the random variable X: 2.5, 3, 4, and 5. It is currently believed that the probabilities of these four possibilities are in the ratio 1 to 2 to 2 to 3. That is, X = 3 is twice as likely as X = 2.5 and X = 5 is 1.5 times as likely as X = 4.

(1) Find the probability distribution of X. (Use appropriate mathematical expressions wherever you can to answer this question.) (2 points)

(2) What is the probability that this project will be completed in at least 3 months from now? (2 points)

(3) What is the probability that this project will not be completed on time? (2 points)

(4) What is the expected completion time (in months) from now for this project? (3 points)

(5) How much variability (in months) exists around the expected value found in question (4)? Give both the variance and standard deviation.

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students